Pour un opérateur T borné sur un espace de Hilbert dans lui-même, nous montrons que , où γ est la conorme (the reduced minimum modulus) et π(T) est la classe de T dans l’algèbre de Calkin. Nous montrons aussi que ce supremum est atteint. D’autre part, nous montrons que les opérateurs semi-Fredholm caractérisent les points de continuité de l’application T → γ (π(T)).
@article{bwmeta1.element.bwnjournal-article-smv117i3p243bwm, author = {Mostafa Mbekhta and Rodolphe Paul}, title = {Sur la conorme essentielle}, journal = {Studia Mathematica}, volume = {119}, year = {1996}, pages = {243-252}, language = {fr}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv117i3p243bwm} }
Mbekhta, Mostafa; Paul, Rodolphe. Sur la conorme essentielle. Studia Mathematica, Tome 119 (1996) pp. 243-252. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv117i3p243bwm/
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